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Finding the Third Proportional to 44,406 and 67,929

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Solution

The third proportional to 44,406 and 67,929 is: 103,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,406 : 67,929 = 67,929 : x
  2. Step 2: Convert to fraction form
    44,406/67,929 = 67,929/x
  3. Step 3: Cross multiply
    44,406x = 67,929 × 67,929
  4. Step 4: Simplify right side
    44,406x = 4,614,349,041
  5. Step 5: Solve for x
    x = 4,614,349,041/44,406
  6. Step 6: Final answer
    x = 103,912.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.